83.6×85.5=
Give me the right answer because I know a lot of people give wrong answers.
Thank you!
~Math with Gabby~
<3
.ω. ∵ ∴ ∞ ≈

Answer:

3/16

Step-by-step explanation:

Answer:

Es el Pentágono creo amigo nose si sera

Answer:

180

--

40*9 / 2

Hope this helps!!!

The equation of the line parallel to 2x + 7y + 21 = 0 and passing through the point (-5, -7) in slope-intercept form is y = -2/7x - 9/7.

To find the equation of a line parallel to a given line, we need to determine the slope of the given line and then use the point-slope form of a line to find the equation of the parallel line.

The given line has the equation 2x + 7y + 21 = 0. To find its slope-intercept form, we need to isolate y. First, we subtract 2x and 21 from both sides of the equation to obtain 7y = -2x - 21. Then, dividing every term by 7 gives us y = -2/7x - 3.

Since the line we want is parallel to this line, it will have the same slope, -2/7. Now, using the point-slope form of a line, we can substitute the coordinates (-5, -7) and the slope -2/7 into the equation y - y1 = m(x - x1). Plugging in the values, we get y + 7 = -2/7(x + 5).

To convert this equation into slope-intercept form, we simplify it by distributing -2/7 to the terms inside the parentheses, which gives y + 7 = -2/7x - 10/7. Then, we subtract 7 from both sides to isolate y, resulting in y = -2/7x - 9/7. Therefore, the equation of the line parallel to 2x + 7y + 21 = 0 and passing through the point (-5, -7) in slope-intercept form is y = -2/7x - 9/7.

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Answer:

See below!

Step-by-step explanation:

I don't think you included the entire question, but maybe you were just stuck on this part, so I'm happy to help!

You include variables in a math equation to give meaning to a word, phrase, or situation in a shortened way.

For example, if I say, "I run 2 miles every day. How many miles will I run in x days?", your equation should look like this:

miles=2x

Notice that the 2 is a number, because that is the one thing that we know for sure. We know, no matter what, I run 2 miles a day. However, we don't know for how many days. So, for this, we need to put something as a sort of placeholder until we are told how many days.

Variables can be any letter, from A-Z! It is reccomended to stay with letters that avoid s, and i(among others) to make sure that you are using letters that can't be mistaken as letter on accident. For example, s could look like 5. In some cases, i could look like 1.

For your question, you could use:

#of cars=x

#of trucks/vans=y

Answer: 1

Step-by-step explanation:

If f(x) is an odd function, this means that f(x)=-f(-x). So, if 6 points lie in Quadrant I, then this means that 6 points must lie in Quadrant III.

This leaves us with 2 points.

Similarly, we know that for every point in Quadrant II, there must be a corresponding point in Quadrant IV.

This gives us 2/2 = 1 point.

Answer:A

Step-by-step explanation:

The inverse Laplace transform of f(s) is f(t) = 10t + 7t^2/2 + 7t^3/3 + 80.125 t^4.

The inverse Laplace transform of f(s) = (3s - 7s^2 - 4s)/s^5 can be found by partial fraction decomposition. First, we factor the denominator as s^5 = s^2 * s^3 and write:

f(s) = (3s - 7s^2 - 4s) / s^5

= (As + B) / s^2 + (Cs + D) / s^3 + E / s^4 + F / s^5

where A, B, C, D, E, and F are constants to be determined. We multiply both sides by s^5 and simplify the numerator to get:

3s - 7s^2 - 4s = (As + B) * s^3 + (Cs + D) * s^2 + E * s + F

Expanding the right-hand side and equating coefficients of like terms on both sides, we obtain the following system of equations:

-7 = B

3 = A + C

0 = D - 7B

0 = E - 4B

0 = F - BD

Solving for the constants, we find:

B = -7

A = 10

C = -7

D = 49

E = 28

F = 343

Therefore, we have:

f(s) = 10/s^2 - 7/s^3 + 28/s^4 - 7/s^5 + 343/s^5

Using the inverse Laplace transform formulas, we can find the inverse transform of each term. The inverse Laplace transform of 10/s^2 is 10t, the inverse Laplace transform of -7/s^3 is 7t^2/2, the inverse Laplace transform of 28/s^4 is 7t^3/3, and the inverse Laplace transform of -7/s^5 + 343/s^5 is (343/6 - 7/24) t^4. Therefore, the inverse Laplace transform of f(s) is:

f(t) = l^-1 {f(s)}

= 10t + 7t^2/2 + 7t^3/3 + (343/6 - 7/24) t^4

= 10t + 7t^2/2 + 7t^3/3 + 80.125 t^4

Hence, the inverse Laplace transform of f(s) is f(t) = 10t + 7t^2/2 + 7t^3/3 + 80.125 t^4.

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The compound interest account would earn $2.50 more than the simple interest account.

The compound interest account would earn more than the simple interest account. The difference in earnings can be calculated using the compound interest formula.

To calculate the amount earned in the simple interest account, we use the formula: Simple Interest = Principal * Rate * Time.

For the compound interest account, we use the formula: Compound Interest = Principal * (1 + Rate)^Time - Principal.

Given a principal of $1000, a rate of 5% (0.05), and a time of 2 years, we can calculate the earnings for each account.

For the simple interest account: Simple Interest = 1000 * 0.05 * 2 = $100.

For the compound interest account: Compound Interest = 1000 * (1 + 0.05)^2 - 1000 = $102.50.

Therefore, the compound interest account would earn $2.50 more than the simple interest account.


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Answer:

can show the full question i can't understand

Answer:

50%

Step-by-step explanation:

4.b.

Answer:  See below.

Step-by-step explanation:

3.a.  f(6) means use x = 6 in the equation f(x) = 2x

so f(6) would be f(6)= 2(6)

f(6) = 12

3.b.  f(-11) = 2(-11)

f(-11) = -22

3.c.  f(2.75) = 2(2.75)

f(2.75) = 5.5

3.d.  This is turned around.  We are told f(x)=20, so what would x need to be for f(x) to be 20?  Since f(x) = 2x, we can say 20 = 2x.  Therefore x = 10

f(10) = 20

The rest of (3) are solved in the same fasion.h

4.a.  f(7) = 5(7)+50

f(7) = 85

4.b. f(-12)

  f(-12) = 5*(-12)+50

f(-12) = -60

Continue in the same fashion for these types of problems.

The normal probability plot determines a normal distribution

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.

Normal distributions are symmetric, uni-modal, and asymptotic, and the mean, median, and mode are all equal

A data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean

Given data ,

Let the normal distribution be represented as N

Now , the normal probability is P

A normal probability plot, also known as a "normal plot," plots sorted data against values chosen to resemble a straight line in the final image if the data are roughly normally distributed.

Divergences from normalcy are shown by deviations from a straight line.

A straight, diagonal line means that you have normally distributed data. If the line is skewed to the left or right, it means that you do not have normally distributed data.

Hence , the normal probability plot determines a normal distribution

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Answer: 40 Students

Step-by-step explanation:

Answer:

1539/4 (improper fraction) or 384 3/4 (simplified fraction)

Step-by-step explanation:

To find the improper fraction, write 384.75 as a fraction:

384.75/1

Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:

38475/100

Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:

1539/4

To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:

384 3/4

Hope this helps :)

The earnings made in 1 day when charging a device with a power rating of 12 W at a rate of 6 cents per kilowatt hour is 0.01728.

Given, Power rating of charger = 12 W. Charge per kilowatt hour = 6 cents = 0.06/kWh.To calculate the earnings in 1 day, we need to calculate the power consumed by the charger in 1 day first.

P = Power rating of charger = 12 Wt = Time = 1 day = 24 hours. Energy consumed = Power x Time. E = P x t= 12 W x 24 hours= 288 Wh = 0.288 kWh. Therefore, energy consumed by the charger in 1 day = 0.288 kWh.

Now, we can calculate the earnings in 1 day as follows: Charge per unit = 0.06/kWh. Earnings = Energy consumed x Charge per unit. Earnings = 0.288 kWh x 0.06/kWh= 0.01728.

Therefore, the earnings made in 1 day when charging a device with a power rating of 12 W at a rate of 6 cents per kilowatt hour is 0.01728.

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Answer:

Mean = 0.38082 checks per day

Variance = 0.38082

Standard deviation = 0.61711

Step-by-step explanation:

In a Poisson distribution, the variance (V) is equal to the mean value (μ), and the standard deviation (σ) is the square root of the variance.

A year has 365 days,, if 139 checks were written during a year, the mean number of checks written per day is:

\(E(x)=\mu=\frac{139}{365}\\ \mu=0.38082\ checks/day\)

Therefore, the variance and standard deviation are, respectively:

\(V=\mu=0.38082\\\sigma=\sqrt{V}=\sqrt{0.38082}\\ \sigma =0.61711\)

The solution of the equation, 1.6i + 12 = - 28 is i = - 25.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In other words, an equation is a mathematical statement that shows that two mathematical expressions are equal.

Therefore, let's solve the equation for i.

1.6i + 12 = - 28

subtract 12 from both sides of the equation

1.6i + 12 = - 28

1.6i + 12 - 12 = - 28 - 12

1.6i = - 40

divide both sides of the equation by 1.6

i = - 40 / 1.6

i = - 25

Therefore, the solution is i = - 25

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To solve for the diameter and radius of a cone with a volume of 8 and a height of 6, we need to use the formulas for the volume and surface area of a cone.

The volume of a cone is given by the formula:

V = 1/3 * π * r^2 * h

where V is the volume, r is the radius, h is the height, and π is the mathematical constant pi (approximately 3.14).

We know that the volume is 8 and the height is 6, so we can plug these values into the formula and solve for the radius:

8 = 1/3 * π * r^2 * 6

r^2 = 8/(π*6/3)

r^2 = 4/π

r = √(4/π)

r ≈ 0.798

The radius is approximately 0.798.

To find the diameter, we simply multiply the radius by 2:

d = 2 * r

d ≈ 1.596

Therefore, the diameter is approximately 1.596 and the radius is approximately 0.798.

The given equation 6x+2y=13 is a linear equation in two variables. In this equation, x and y are variables while 6 and 2 are their respective coefficients, and 13 is a constant term. The equation can be represented as a straight line on a graph. The slope of this line is -3, and it intersects the y-axis at the point (0, 13/2).

In this equation, if we substitute x=0, then y=13/2, and if we substitute y=0, then x=13/6. These are the two points that the line passes through the x and y-axis.

A linear equation is a polynomial equation that is of the first degree, meaning the variables in the equation are not raised to any powers other than one. This equation is in the standard form where the variables are in the first degree. 6x + 2y = 13 is the form of the given linear equation. x and y are the two variables, and 6 and 2 are their respective coefficients. The equation can be represented as a straight line on a graph. The slope-intercept form of this equation is y = -3x + 13/2. The equation is also in standard form.

When x = 0, the equation becomes 2y = 13. This means that the point of intersection is (0, 13/2) when y = 0, the equation becomes 6x = 13, and the point of intersection is (13/6, 0). The slope of the line is -3. When x increases by 1, y decreases by 3.

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The total species of animals based on the information given is 80.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Let the number of species be represented by x.

This will be illustrated as:

75% × x = 60

0.75 × x = 60

0.75x = 60

Divide

x = 60 / 0.75

x = 80

The total species is 80.

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The numerical length of the line segment FG is 10 units.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Point G is on FH, hence:

FH = FG + GH

Given that GH = 8, FH = 3x + 3, FG = 2x, hence:

3x + 3 = (2x) + 8

x = 5

FG = 2x = 2(5) = 10

The numerical length of the line segment FG is 10 units.

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The type of triangle that Kevin drew based on the information is a scalene triangle.

A scalene triangle is a triangle with different lengths for each of its three sides and different measures for each of its three angles. A scalene triangle's angles adhere to the angle sum property and always add up to 180 degrees.

A scalene triangle has three sides, each of which is measured differently. Each of a triangle's three interior angles has a different measurement. Scalene triangles don't have a symmetry line.

In this case, the sides are all different as illustrated in Kevin's case.

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The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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The LP problem is to maximize the objective function 10x+15y subject to the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. By graphing the constraints and identifying the feasible region, we can determine the optimal solution.

To find the optimal solution for the LP problem, we first graph the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. These constraints represent the inequalities that the variables x and y must satisfy. We plot the lines 2x+5y = 40 and 6x+3y = 48 on a graph and shade the region that satisfies both constraints.

The feasible region is the area where the shaded regions of both inequalities overlap. We then identify the corner points of the feasible region, which represent the extreme points where the objective function can be maximized.

Next, we evaluate the objective function 10x+15y at each corner point of the feasible region. The point that gives the highest value for the objective function is the optimal solution.

By solving the LP problem graphically, we can determine the corner point that maximizes the objective function. The optimal solution will have specific values for x and y that satisfy the constraints and maximize the objective function 10x+15y.

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Answer:

80 is but 70 is not, this is because the numbers are doubling 5 * 2 = 10 10 * 2 = 20 so naturally 20 * 2 = 40 40 * 2 = 80 Hope that helps :-)

Answer:

9

Step-by-step explanation:

slope intercept form is: y=mx+b, and b is the y-intercept

Answer:

y=9

Step-by-step explanation:

The y-intercept is that last little number after the 8x

And man, I feel ya, numbers just don't seem to make sense anymore, not when this stuff is the way it is, but best of luck to ya on your math journey!

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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a. Length of segment PM=21cm and length of segment PL = 24.6cm.

In geometry, a segment is a part of a line that is bounded by two distinct endpoints and contains all the points between them. It can also be defined as the portion of a line that connects two points.

(a) Using the given information, PQ=42cm and we can see that M is midpoint of PQ. Therefore we can use midpoint formula

PQ=PM+MQ

42=2PM

PM=42/2

PM=21

(b) We used the property that the perpendicular bisector of a chord passes through the center of the circle, which means that LP is the perpendicular bisector of PQ.

(c) We used the Pythagorean theorem again to solve for PL.

\(PL^2 = PM^2 + LM^2\\\\PL^2 = 21^2 + 13^2\\\\PL^2 = 610\\\\PL = \sqrt{(610)\)

PL ≈ 24.6 cm

(d)

\(PM^2=PL^2-LM^2= 610-169=441\\\\PM=21\)

Using the fact that LP is the perpendicular bisector of PQ, we can split PQ in half to get two segments of length 21. Then, using the Pythagorean theorem in right triangle LPL', where L' is the midpoint of PQ, we can solve for PL.

PL ≈ 24.6 cm

Therefore, the length of PL is approximately 24.6 cm.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Relational databases are heavily based on the mathematical concept of: Set Theory. The correct option is (A).

Relational databases are based on the principles of set theory, which deals with sets of elements and their relationships with each other. In a relational database, data is organized into tables, with each table representing a set of related data.

The tables are then related to each other through the use of keys, which allow for the establishment of relationships between different sets of data. The principles of set theory also govern the use of operations such as union, intersection, and difference, which can be used to manipulate the data in the tables.

Therefore, the mathematical concept of set theory is a fundamental part of the design and use of relational databases.

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